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Shkiper50 [21]
2 years ago
5

(08.01 MC)Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing le

isure and sports activities per day (rounded to the nearest hour): Number of hours spent doing leisure and sports activities per day 1 2 3 4 5 Sample A: Number of adults 70 90 135 140 65 Sample B: Number of adults 80 80 130 135 75 Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

Dan is correct

Step-by-step explanation:

From the question, we have:

Hours:1\ 2\ 3\ 4\ 5

Required

The average

The average hour is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{1+2+3+4+5}{5}

\bar x = \frac{15}{5}

\bar x = 3

<em>Dan calculated the mean as 3; while Bret calculated the mean as 4.</em>

<em>Hence, we can conclude that Dan s correct</em>

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Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

3 0
2 years ago
Write 212.29 word<br> form
Airida [17]
Two-hundred twelve point twenty nine
8 0
2 years ago
Sam and Todd went trick-or-treating. When they arrived home and counted their candy, Todd had three times more pieces of candy t
nlexa [21]

Answer:

Step-by-step explanation:

s + t = 544

t = 3s

substitution:

s + 3s = 544

s = 136

t = 3s = 408

Sam has 136 pieces. Todd has 408 pieces.

5 0
3 years ago
Solve for x: 5x+3+8x-4=90
aleksley [76]

Answer:

x = 7

Step-by-step explanation:

We can solve the equation 5x+3+8x-4=90 by isolating the variable x on one side. To do this, we must simplify the equation.

5x+3+8x-4=90

Combine like terms:

13x - 1 = 90

Add 1 to both sides:

13x = 91

Divide both sides by 13:

x = 7

Hope this helped!

7 0
3 years ago
Read 2 more answers
Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. She ha
solong [7]

Answer:

Julia has enough gallons of gas to mow the two yards.

Step-by-step explanation:

Given:

Total yards Julia has to mow = 2

Gas in gallons required for the 1st yard = \frac{13}{16}

Gas in gallons required for the 1st yard = \frac{2}{5}

Gallons of gas Julia has = 1\frac{1}{2}.

To find if she has enough gas to mow the two yards.

Solution:

In order to find the total gas she would require to mow two yards, we will add the amounts of gas required for each yard.

<em>Total amount of gas required to mow 2 yards is :</em>

<em>⇒ Gallons of gas required for 1st yard + Gallons of gas required for 2nd yard</em>

⇒ \frac{13}{16}+\frac{2}{5}

<em>To add fractions we will need take least common denominator between 16 and 5. </em>

On comparing the multiples of 16 and 5, we find out the least common multiple is 80.

To make the denominators common, we will multiply the numerators and denominators with such a number that gives 80 as denominator.

So, we have:

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Then, we add the numerators.

⇒ \frac{97}{80}

⇒ 1.21 gallons

Julia has 1\frac{1}{2} gallons of gas which is = 1.5 gallons.

Since 1.5>1.21, therefore we can say Julia has enough gallons of gas to mow the two yards.

8 0
3 years ago
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